Question

Please help with this question!

Answer 1

Answer:

NONE of these statements are true

Answer 2

a) False

$\frac{d}{dx} (f(x).g(x)) = f'(x).g(x) + g'(x).f(x)$

b) False

$\frac{d}{dx} ( \sqrt{x {}^{2} + x} ) {}^{2} = \frac{2x + 1}{2 (\sqrt{x {}^{2} + x}) {}^{2} } = \frac{2(2x + 1)(x {}^{2} + x) }{2|x²+x|} = \frac{(2x + 1)(x { }^{2} +x)}{|x²+x|}$

Im assuming this is an absolute value

c) True

$\frac{d}{dx} ( \sqrt{f(x)} ) = \frac{f'(x)}{2 \sqrt{f(x)} }$

Option C